OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Symbolic Computation is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)

Article	Citations
Editorial Board	28
Computing rational powers of monomial ideals	26
Bit complexity for computing one point in each connected component of a smooth real algebraic set	13
Polynomial modular product verification and its implications	12
Simplifying regular expressions further	12
Computing the binomial part of a polynomial ideal	12
A nearly optimal algorithm to decompose binary forms	12
Computation of orders and cycle lengths of automorphisms of finite solvable groups	10
Editorial Board	10
Strictly positive polynomials in the boundary of the SOS cone	9
WITHDRAWN: A post-quantum key exchange protocol from the intersection of conics	8
Drinfeld modules with complex multiplication, Hasse invariants and factoring polynomials over finite fields	8
Guessing Gröbner bases of structured ideals of relations of sequences	7
Loci of 3-periodics in an Elliptic Billiard: Why so many ellipses?	7
Permutations avoiding sets of patterns with long monotone subsequences	7
Computation of positively graded filiform nilpotent Lie algebras in low dimensions	7
Foreword: Special issue of JSC on the occasion of MEGA 2019	6
Saturations of subalgebras, SAGBI bases, and U-invariants	6
Autocovariance varieties of moving average random fields	6
A unified FFT-based approach to maximum assignment problems related to transitive finite group actions	6
Computing quotients by connected solvable groups	6
Efficient q-integer linear decomposition of multivariate polynomials	6
Editorial Board	6
Machine learning invariants of arithmetic curves	6
Gram spectrahedra of ternary quartics	6

SONC optimization and exact nonnegativity certificates via second-order cone programming	5
Two-step Newton's method for deflation-one singular zeros of analytic systems	5
Measuring the local non-convexity of real algebraic curves	5
An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences	5
Isolating all the real roots of a mixed trigonometric-polynomial	5
Machine learning parameter systems, Noether normalisations and quasi-stable positions	5
Local dual spaces and primary decomposition	5
Deformations of half-canonical Gorenstein curves in codimension four	5
A fast parallel sparse polynomial GCD algorithm	5
Shifted varieties and discrete neighborhoods around varieties	5
qFunctions – A Mathematica package for q-series and partition theory applications	5
Fast commutative matrix algorithms	4
Reduction-based creative telescoping for P-recursive sequences via integral bases	4
The deviation on cranks of partitions	4
On the existence and convergence of formal power series solutions of nonlinear Mahler equations	4
Axioms for a theory of signature bases	4
Corrigendum to “On the cactus rank of cubics forms” [J. Symb. Comput. 50 (2013) 291–297]	4
Algebraic number fields and the LLL algorithm	4
Initial steps in the classification of maximal mediated sets	4
Enumerating seating arrangements that obey social distancing	4
Editorial Board	4
Graph sequence learning for premise selection	4
Stream/block ciphers, difference equations and algebraic attacks	4
Structural identifiability of series-parallel LCR systems	4
Orthogonal-symplectic matrices and their parametric representation	4
Stabilized recovery and model reduction for multivariate exponential polynomials	3
A counterexample to a conjecture on simultaneous Waring identifiability	3
Verification protocols with sub-linear communication for polynomial matrix operations	3
On Bézout inequalities for non-homogeneous polynomial ideals	3
Efficient rational creative telescoping	3
Computing primitive idempotents in finite commutative rings and applications	3
On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ⁎-field extensions	3
A post-quantum key exchange protocol from the intersection of conics	3
Editorial Board	3
Symbolic analysis of multiple steady states in a MAPK chemical reaction network	3
Perfect refiners for permutation group backtracking algorithms	3
A new general formula for the Cauchy index on an interval with subresultants	3
Sagbi combinatorics of maximal minors and a Sagbi algorithm	3
Computing a group action from the class field theory of imaginary hyperelliptic function fields	3
The anisotropic part of a quadratic form over a number field	3
On surfaces of minimal degree in P	3
Squarefree normal representation of zeros of zero-dimensional polynomial systems	3
Invariants of SDP exactness in quadratic programming	3
Absolute concentration robustness: Algebra and geometry	3
Creative telescoping for hypergeometric double sums	3
Computing tropical bitangents to smooth quartic curves in polymake	3
On symmetry adapted bases in trigonometric optimization	3
Computing pullback function of second order differential operators by using their semi-invariants	3
Tensor decompositions on simplicial complexes with invariance	3
Neurons on amoebae	2

Disjoint direct product decompositions of permutation groups	2
Signature Gröbner bases, bases of syzygies and cofactor reconstruction in the free algebra	2
Coupled cluster degree of the Grassmannian	2
Computing character tables and Cartan matrices of finite monoids with fixed point counting	2
The Smith normal form and reduction of weakly linear matrices	2
Liouvillian solutions of Whittaker-Ince equation	2
The span of singular tuples of a tensor beyond the boundary format	2
Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one	2
Reflection groups and cones of sums of squares	2
Strict inclusions of high rank loci	2
The integral closure of a primary ideal is not always primary	2
Smooth points on semi-algebraic sets	2
Symmetry in multivariate ideal interpolation	2
Probabilistic analysis of block Wiedemann for leading invariant factors	2
Logarithmic Voronoi cells for Gaussian models	2
Computing roadmaps in unbounded smooth real algebraic sets I: Connectivity results	2
Arithmetic of D-algebraic functions	2
Groups whose orders factorise into at most four primes	2
Nash conditional independence curve	2
Computation of Macaulay constants and degree bounds for Gröbner bases	2
Fast computation of the N-th term of a q-holonomic sequence and applications	2
On parametric semidefinite programming with unknown boundaries	2
An effective decomposition theorem for Schubert varieties	2
Two algorithms for computing the general component of jet scheme and applications	2
Special issue of JSC on the occasion of MEGA 2021	2
Parallelization of triangular decompositions: Techniques and implementation	2
Computing generating sets of minimal size in finite algebras	2
Constructively describing orbit spaces of finite groups by few inequalities	2
Multivariate interpolation: Preserving and exploiting symmetry	2
On Elkies' method for bounding the transitivity degree of Galois groups	2
An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form	2
Catalecticant intersections and confinement of decompositions of forms	2
Regular orbits of finite primitive solvable groups, the final classification	2
Editorial Board	2
Simultaneous Rational Function Reconstruction with errors: Handling multiplicities and poles	2
Computing free non-commutative Gröbner bases over Z with Singular:Lett	2
Staged tree models with toric structure	2